On Mann’s Type Method for Nonexpansive and Strongly Quasinonexpansive Mappings in Hilbert Spaces

• Published in: Journal of function spaces Vol. 2015; no. 2015; pp. 1 - 9
• Main Authors: Hussain, Nawab, Alamri, Badriah A. S., Marino, Giuseppe
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2015; Hindawi Limited
• Subjects: Algorithms; Approximation; Function space; Hilbert space; Inequalities; Inequality; Mapping

In the setting of Hilbert spaces, we study Mann’s type method to approximate strong solutions of variational inequalities. We show that these solutions are fixed points of a nonexpansive mapping and/or a strongly quasinonexpansive mapping, depending on the coefficients involved in the algorithm.